About: Analytic model of a ball rolling on a spherical surface under harmonic kinematic excitation

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	The set of a heavy metallic ball which is rolling freely inside a semi-spherical dish with larger diameter, being fixed to structure, is frequently used as tuned mass damper of vibration. Ratio of both diameters, mass of the rolling ball, quality of contact surfaces and other parameters should correspond with characteristics of the structure. The ball damper is modeled as a non-holonomic system. Hamiltonian functional including an adequate form of the Rayleigh function is formulated in moving coordinates using Euler angles and completed by ancillary constraints via Lagrangian multipliers. Subsequently Lagrangian differential system is carried out. Together with rolling conditions the governing system of seven equations is formulated. Later Lagrangian multipliers character is analyzed and redundant motion components are eliminated. First integrals are derived and main energy balances evaluated together with their physical interpretation. The set of a heavy metallic ball which is rolling freely inside a semi-spherical dish with larger diameter, being fixed to structure, is frequently used as tuned mass damper of vibration. Ratio of both diameters, mass of the rolling ball, quality of contact surfaces and other parameters should correspond with characteristics of the structure. The ball damper is modeled as a non-holonomic system. Hamiltonian functional including an adequate form of the Rayleigh function is formulated in moving coordinates using Euler angles and completed by ancillary constraints via Lagrangian multipliers. Subsequently Lagrangian differential system is carried out. Together with rolling conditions the governing system of seven equations is formulated. Later Lagrangian multipliers character is analyzed and redundant motion components are eliminated. First integrals are derived and main energy balances evaluated together with their physical interpretation. (en)
Title	Analytic model of a ball rolling on a spherical surface under harmonic kinematic excitation Analytic model of a ball rolling on a spherical surface under harmonic kinematic excitation (en)
skos:prefLabel	Analytic model of a ball rolling on a spherical surface under harmonic kinematic excitation Analytic model of a ball rolling on a spherical surface under harmonic kinematic excitation (en)
skos:notation	RIV/68378297:_____/13:00389045!RIV13-GA0-68378297
http://linked.open...avai/riv/aktivita	I P
http://linked.open...avai/riv/aktivity	I, P(GA103/09/0094), P(IAA200710902)
http://linked.open...vai/riv/dodaniDat	2013
http://linked.open...aciTvurceVysledku	Fischer, Cyril Náprstek, Jiří
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Ústav teoretické a aplikované mechaniky AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	60754
http://linked.open...ai/riv/idVysledku	RIV/68378297:_____/13:00389045
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	non-holonomic systems; Hamilton functional with constrains; moving coordinates; non-linear vibration; vibration ball absorber (en)
http://linked.open.../riv/klicoveSlovo	Hamilton functional with constrains moving coordinates non-holonomic systems non-linear vibration vibration ball absorber
http://linked.open...ontrolniKodProRIV	[0429DACF1167]
http://linked.open...v/mistoKonaniAkce	Praha
http://linked.open...i/riv/mistoVydani	Praha
http://linked.open...i/riv/nazevZdroje	Dynamika strojů 2013
http://linked.open...in/vavai/riv/obor	JM
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Stochastic stability and transition processes in interaction of non-conservative gyroscopic systems with moving continuum Bifurcations and post-critical states of non-conservative and non-holonomic stochastic systems
http://linked.open...UplatneniVysledku	2013
http://linked.open...iv/tvurceVysledku	Fischer, Cyril Náprstek, Jiří
http://linked.open...vavai/riv/typAkce	EUR - Evropská
http://linked.open.../riv/zahajeniAkce	2013-02-05 (xsd:date)
number of pages	8 (xsd:int)
http://purl.org/ne...btex#hasPublisher	Ústav termomechaniky AV ČR, v.v.i
https://schema.org/isbn	978-80-87012-44-4

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